Atkin-Lehner |
2+ 3+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832a |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4259912631625728 = 211 · 35 · 7 · 114 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84232,-8841968] |
[a1,a2,a3,a4,a6] |
Generators |
[4458:86515:8] |
Generators of the group modulo torsion |
j |
32272324948425746/2080035464661 |
j-invariant |
L |
6.2702304275083 |
L(r)(E,1)/r! |
Ω |
0.2813729777483 |
Real period |
R |
5.5711021697125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416j4 |
Quadratic twists by: -4 |